The dynamic bifurcation of the Brusselator model in two-dimensional region

Abstract

By use of the Spectrum Theory of the linear completely continuous fields and Transition Theory, the dynamic bifurcation transition of the Brusselator model in two dimansional region is discussed, and given certain conditions, the distinguished number of transition type is obtained with the type of transition judged. At the same time, expression of the solution o f bifurcation is given. Finally, topological structure of is also made about the results obtained.